Constantin P. Niculescu

Email: CPniculescu@sms.edu.pk

Course: Mathematical Analysis, Functional Analysis, Convexity, Dynamical Systems, Ergodic Theory

Publications

2006

1. Integral inequalities for concave functions, Publ. Math. Debrecen 68 (2006), No. 1-2 (In collab. with Sorina Barza)
2. Convex Functions and their applications. A Contemporary Approach. Springer-Verlag, New York, 2006. xvi + 256 pp. ISBN 0-387-24300-3 (In collab. with Lars-Erik Persson).

2005

1. Asymptotic stability and integral inequalities for solutions of linear systems on Radon-Nikodým spaces, Mat. Inequal. Appl. 8 (2005), 347-356 (In collab. with C. Buse and Josip Pecaric)
2. A Note on Ostrowski’s Theorem, J. Ineq. Appl. 3 (2005), 1-10 (In collab. with A. Florea)
3. An Introduction to Mathematical Analysis, Universitaria Press, Craiova, 2005. xii + 348 pp. ISBN 973-742-138-8.
4. Special Topics in Functional Analysis, Universitaria Press, Craiova, 2005. viii + 152pp. ISBN 973-742137-X (Romanian)

2004

1. Old and new on the Hermite-Hadamard inequality. Real Analysis Exchange, 29 (2003/04), no. 2, 663-686 (In collab. with Lars-Erik Persson). MR2083805
2. A note on the Denjoy-Bourbaki theorem. Real Analysis Exchange. 29 (2003/04), no. 2, 639-646 (In collab. with Florin Popovici). MR20830805
3. An extension of the Mazur-Ulam Theorem. In: Global Analysis and Applied Mathematics, Intern. Workshop on Global Analysis, Ankara, Turkey, 15-17 April 2004, American Institute of Physics Conference Proceedings, Vol. 729, pp. 248-256, New York, 2004 (K. Tas, D. Krupka, O. Krupkova and D. Baleanu, Editors).
ISBN 0-354-0209-4
4. A two-sided estimate of e^x-(1+x/n)^n, Journal of Inequalities in Pure and Applied Mathematics (JIPAM), 5 (2004)., Issue 3, Article 55, 4 pp. MR2084865. Zbl 1056.26011.
5. Interpolating Newton’s Inequalities, Bull. Soc. Sci. Math. Roum. 47 (95), 2004, No. 1-2, 67-83.

2003

1. Convex Functions. Basic Theory and Applications. Universitaria Press, Craiova, 2003, xiv + 185 pp. ISBN 973-8043-389-9. (In collab. with Lars-Erik Persson)
2. Non-commutative extensions of classical and multiple recurrence theorems, J. Operator Theory XXX (2003), 3-52. (In collab. with Anton Ströh and Laszlo Zsido). MR2015017
3. Convexity according to means, Math. Inequal. Appl., 6 (2003), 571-579.
MR2013520. Zbl 1047.26010
4. The Hardy-Landau-Littlewood inequalities with less smoothness, Journal of Inequalities in Pure and Applied Mathematics (JIPAM), 4 (2003), Issue 3, article 51, 8 p. (In collab. with C. Buse).
5. On the Algebraic Character of Blundon’s Inequalities. In vol.: Inequality Theory and Applications (Y. J. Cho, S. S. Dragomir and J. Kim Editors), Vol. 3, pp. 139-144, Nova Science Publishers, New York, 2003. ISBN 1-59033-891-X.

2002

1. Choquet Theory for Signed Measures, Math. Inequal. Appl., 5 (2002), 479-489. MR1907533
2. The Hermite-Hadamard inequality for convex functions of a vector variable, Math. Inequal. Appl., 5 (2002), 619-623. MR1931222
3. A generalization of a theorem of Bernard concerning the frontal sets. Proc. of the 4th International Conference on Functional Analysis and Approximation Theory, Acquafredda di Maratea (Potenza-Italy), September 22-28, 2000. In Redinconti del Circolo Matematico di Palermo, Serie II, Suppl., 68 (2002), 699-710. (In collab. with Gavril Paltineanu and Dan T. Vuza) MR1975479
4. Explosive solutions of elliptic equations with absorption and non-linear gradient term, Proc. Indian Acad. Sci. (Math. Sci.), Vol. 112 (2002), pp. 383-391. (In collab. with Marius Ghergu and Vicentiu Radulescu) MR1921792
5. Analysis on real line. A contemporary approach. Second edition, with corrections. x + 277 pp. Universitaria Press, Craiova, 2002. ISBN 973-8043-154-4. (Romanian) Zbl 1030.26001
6. Integral calculus of functions of several variables. Theory and applications. viii + 221 pp. Universitaria Press, Craiova, 2002. ISBN 973-8043-155-5. (Romanian)
7. Chaotic dynamical systems. An introduction. xvi + 239 pp. Universitaria Press, Craiova, 2002. ISBN 973-8043-159-9. (In collab. with Marian Gidea). Review: Newsletter, European Mathematical Society, September 2004, Issue 53, p. 44.
8. A note on the Ky Fan inequality, Analele Universitatii din Craiova, seria matematica-informatica, XXIX (2002), pp. 47-51. (In collab. with Aurelia Florea). Appears also in RGMIA Research Report Collection, vol. 5 (2002), no. 4. (http://rgmia.vu.edu.au) MR2064898

2001

1. What is chaos and why should we mind of it? In: Order Structures in Functional Analysis, vol. IV (R. Cristescu editor), pp. 103-123, Ed. Academiei Române, Bucharest, 2001. ISBN 973-27-0820-4.
2. An extension of Chebyshev’s Inequality and its connection with Jensen’s Inequality, Journal of Inequalities and Applications, Volume 6 (2001), nr. 4, pp. 451-462. MR1888436
3. Analysis on real line. A contemporary approach. x+264 pp., Universitaria Press, Craiova, 2001. ISBN 973-8043-87-7. (Romanian)
5. A multiplicative mean value and its applications. In vol. Theory of Inequalities and Applications, Nova Science Publishers (USA), 2001, edited by Y. J. Cho, S. S. Dragomir and J. Kim.
6. A note on the Hermite-Hadamard Inequality, The Mathematical Gazette, July 2001, pp. 48-50.

2000

1. Convexity according to the geometric mean, Math. Inequal. Appl., 3 (2000), no. 2, 155-169. MR 1749293.
2. A new look at Newton’s Inequalities, Journal of Inequalities in Pure and Applied Mathematics, 1 (2000), no. 2, paper no. 17. MR1786404
3. On the Riemann-Lebesgue Lemma, In vol.: Proceedings of the 3rd Annual Conference of Romanian Mathematical Society, Craiova, May 26-29, 1999. Vol. 1, Scientific Communications, pp. 151-156, Ed. Reprograph, Craiova, 2000. (In collab. with Dan Tudor Vuza) (Romanian). ISBN
4. Functions spaces attached to elliptic operators. In: Proc. of the National Conference on Mathematical Analysis and Applications, Timisoara, December 12-13, 2000, pp.239-250. University of West, Timisoara, 2000.

1999

1. Solvability of an Elliptic System with Discontinuous Nonlinearity and L1 -data Comm. on Applied Nonlinear Analysis, 6 (1999), no. 3, pp. 49-58. (In collab. with Nicolae Tarfulea) MR1702553
2. Applications of Elliptic Operators Methods to C? - Convergence Problem, Revue Roumaine Math. Pures et Appl., 44 (1999), no. 5-6, pp. 793-798. MR1839678
3. A Hilbert Space Approach of Poincaré recurrence theorem, Revue Roumaine Math. Pures et Appl., 44 (1999), no. 5-6, pp. 799-805. (In collab. with Anton Ströh) MR1839679
4. Converses of the Cauchy-Schwarz inequality in the C*-framework¸ Analele Universitatii din Craiova, seria matematica-informatica, 25 (1999), pp. 22-28.
MR1873212

1998

1. Topological transitivity and recurrence as a source of chaos. In vol.: Functional Analysis and Economics Theory, (Y. Abramovich, E. Avgerinos and N.C. Yannelis Eds.), pp. 101-108, Springer-Verlag, 1998. MR1730123
2. A class of Dirichlet Boundary value problems which admit infinitely many solutions, Scientiae Math., 1 (1998), no. 2, pp. 461-472. (In collab. with Nicolae Tarfulea)
3. Recurrence of states in C*-Dynamical Systems, Analele Universitatii din Craiova, seria fizica, 8 (1998), 55-60. (In collab. with Gyorgy Steinbrecker)

1996

1. Birkhoff Recurrence Theorem and Combinatorial Properties of Abelian Semigroups, Revue Roumaine Math. Pures et Appl., 41 (1996), 675-686.
MR1647675
2. A saddle point theorem for non-smooth functionals and problems at resonance,
Annales Acad. Sci. Fennicae, Series A, 21 (1996), 117-131. (In collab. with Vicentiu Radulescu) MR1375511

1995

1. A combinatorial property of abelian semigroups, Revue Roumaine Math. Pures et Appl., 40 (1995), 669-672. MR1405106
2. Facial structures from the order theoretical point of view, Math. Reports, 46 (1995), 417-451. MR1682880

1994

1. Problems at resonance via critical point theorem for non-smooth functionals¸
Tübinger Berichte zur Funktionanalysis, Heft 3, Jahrgang 93/94, 169-183. In collab. with Vicentiu Radulescu.

1993

1. On L - M duality in real Banach spaces, Revue Roumaine Math. Pures et Appl., 38 (1993), 275-279. In collab. with Dan Tudor Vuza. MR1324281
2. Interpolation and approximation from the M - theory point of view, Revue Roumaine Math. Pures et Appl., 38 (1993), 531-544. In collab. with Gavril Paltineanu and Dan Tudor Vuza. MR1258054

1992

1. A note on ideals, Revue Roumaine Math. Pures et Appl., 37 (1992), 717- 726. MR1188625
2. Ideals associated to Boolean algebras of projections, Math. Reports, 44 (1992), 435-448. MR1194869
3. The Evolution of the Notion of Ideal in Functional Analysis. In: Order Structures in Functional Analysis, vol. 3 (R. Cristescu editor), pp.65-120, Ed. Academiei Române, Bucharest, 1989. ISBN 973-27-0334-2. MR1194869

1989

1. Commutative Convexity. An Introduction. In: Order Structures in Functional Analysis, vol. 2 (R. Cristescu editor), pp. 83-115, Ed. Acad., Bucharest, 1989. ISBN 973-27-0054-8. MR1194869

1988

1. A commutative extremal extension of Hilbert-Schmidt theorem, Revue Roumaine Math. Pures et Appl., 34 (1989), 247-261. MR1006646
2. Alfsen-Effros type order relations defined by vector norms, Revue Roumaine Math. Pures et Appl., 33 (1988), 751-766. In collab. with Dan Tudor Vuza.
MR0979706

1987

1. Cunningham projections associated to an Alfsen-Effros type order relation. In vol.: Operators in Indefinite Metric Spaces, Scattering Theory and Other Topics. 10 the International conference on Operator Theory, Bucharest (Ro- mania), August 26-September 5, 1985, pp. 251-263. Birkhäuser-Verlag, Basel, 1987. MR0903077
2. The centralizer associated to an Alfsen-Effros type order relation. Part II. Analele Univ. din Craiova, seria mat, fiz.-ch., 15 (1987), 5-13. MR09964493

1986

1. The centralizer associated to an Alfsen-Effros type order relation. Part I. Analele Univ. din Craiova, seria mat, fiz.-ch., 14 (1986), 1-9. MR 89b:46069
2. Weak Compactness in Banach Lattices. In: Order Structures in Functional Analysis (R. Cristescu editor), pp. 97-158, Ed. Academiei, Bucharest, 1986. MR0935013

1985

1. Operators of type A and local absolute continuity, J. Operator Theory, 13 (1985), 49-61. MR 86b:47064

1984

1. Operators defined on Banach lattices. In vol.: Proceedings of the Second International Conference on Operator Algebras, Ideals and Their Applications in Theoretical Physics, Leipzig, 1983. Teubner-texte zür Mathematik, vol. 67(1984), pp. 178-184, Teubner, Leipzig, 1984. MR0763540

1983

1. Order ?- continuous operators on Banach lattices. In vol.: Banach Space Theory and its Applications, Proceedings, Bucharest, 1981. Edited by A. Pietsch, N. Popa and I. Singer. Lecture Notes in Math, 991 (1983), 188-201. MR0714186
2. Operators of type A. Communication to ICM82, International Congress of Mathematicians, Warsaw, August 16-24, 1983. ICM Short Communications, Abstracts, vol. VI, Section 9, p.40.

1981

1. Weak compactness in Banach lattices, J. Operator Theory, 6 (1981), 217-231.
MR0643692
2. A note on C(S) – spaces, Bull. Math. de la Soc. Sci. Math. de R. S. Roumanie, 25 (1981), 47-48. MR0636685
3. Elements of the Theory of Banach Spaces, 239 pp, Ed. Academiei, Bucharest. In collab. with N. Popa. (Romanian) MR0616450

1980

1. A note on weakly compact operators defined on - algebras, Revue Roumaine Math. Pures et Appl., 25 (1980), 631-634. MR0577053
2. On the integral representation of linear operators on C(S). The significance of the Baire space. Revue Roumaine Math. Pures et Appl., 25 (1980), 1407-1410. In collab. with George Vraciu. MR0616588

1979

1. Absolute continuity in Banach space theory, Revue Roumaine Math. Pures et Appl., 24 (1979), 413-422. MR0542855
2. On the equality L(E,F) = N(E,F), Math. Reports, 31 (1979), 427-432. (Romanian)
MR0560477

1978

1. Lebesgue-Radon-Nikodym type theorems for operators defined on ordered Banach spaces, Revue Roumaine Math. Pures et Appl., 23 (1978), 85-93.
MR0491430
2. Preduals of Banach lattices, weak order units and the Radon-Nikodym property
Revue Roumaine Math. Pures et Appl., 23 (1978), 233-242. MR0482056
3. New progress on L(E,F) = N1(E,F), Analele Univ. din Craiova, seria mat, fiz.-ch., 6 (1978), 27-29. MR0601828

1977

1. Simultaneous extensions of vector measures, Analele Univ. din Craiova, seria mat, fiz.-ch., 5 (1977), 39-44. MR0632059
2. Absolute Continuity in Banach Space Theory, INCREST Preprint Series in Math. n032/1977.

1976

1. Banach lattices with a weak order unit, Bull. Amer. Math. Soc., 82 (1976), 748- 750. MR0410327
2. Jordan decomposition and locally absolutely continuous operators, Revue Roumaine Math. Pures et Appl., 21 (1976), 343-352. MR0420269

1975

1. Absolute continuity and weak compactness, Bull. Amer. Math. Soc., 81 (1975), 1064-1066. MR0385619

1974

1. Opérateurs absolument continus, Revue Roumaine Math. Pures et Appl., 19 (1974), 225-236. MR0344938
2. Summability in Banach lattices, Revue Roumaine Math. Pures et Appl., 19 (1974), 1111-1130. MR0390706